Advanced Mathematics A is an important basic theoretical course for students majoring in science (non-mathematics).

Advanced Mathematics B is an important basic theoretical course for engineering undergraduates.

Advanced Mathematics C is a compulsory basic theoretical course for students majoring in engineering (such as architecture and urban planning) and engineering colleges who have low requirements for mathematics.

Advanced Mathematics D is a compulsory basic theory course for students who have lower requirements for mathematics (such as liberal arts majors).

2. Different learning contents

Advanced Mathematics A: Function and Limit; Unary function calculus; Vector algebra and spatial analytic geometry: multivariate function calculus; Infinite series (including Fourier series); Basic concepts, basic theories and basic operation skills in differential equations;

Advanced Mathematics B: Function and Limit; Unary function calculus; Vector algebra and spatial analytic geometry; Multivariate function calculus; Infinite series (including Fourier series); Basic concepts, basic theories and basic operation skills of ordinary differential equations;

Advanced Mathematics C: Function and Limit; Unary function calculus; Ordinary differential equation; Vector algebra and spatial analytic geometry; Basic concepts, basic theories and basic operation skills in multivariate function calculus;

Advanced Mathematics D: Function and Limit; Unary function calculus; Ordinary differential equations, etc.

3, the difficulty is different

The order of difficulty is: advanced mathematics A, advanced mathematics B, advanced mathematics C and advanced mathematics D. ..

Extended data

In China, students majoring in science and engineering (except mathematics, who study mathematical analysis) have difficulty in learning mathematics, which is often called "advanced mathematics" in textbooks; Students majoring in literature and history learn mathematics a little shallower, and their textbooks are often called "calculus".

Different majors in science and engineering, literature and history have different degrees of depth. It is advanced mathematics that studies variables, but advanced mathematics does not only study variables. As for the courses related to "advanced mathematics", there are usually: linear algebra (advanced algebra for mathematics majors), probability theory and mathematical statistics (some mathematics majors study independently).

Elementary mathematics studies constants and uniform variables, while advanced mathematics studies non-uniform variables. Advanced mathematics (the general name of several courses) is an important basic subject in science and engineering colleges, and it is also a compulsory mathematics course for non-mathematics majors in science and engineering, as well as a compulsory course for other majors.

As a basic science, advanced mathematics has its inherent characteristics, namely, high abstraction, strict logic and wide application. Abstraction and calculation are the most basic and remarkable features of mathematics. Only with a high degree of abstraction and unity can we profoundly reveal its essential laws and make it more widely used.

Strict logic means that in the induction and arrangement of mathematical theory, whether it is concept and expression, or judgment and reasoning, we must use the rules of logic and follow the laws of thinking. Therefore, mathematics is also a way of thinking, and the process of learning mathematics is the process of thinking training. The progress of human society is inseparable from the wide application of mathematics.

Especially in modern times, the appearance and popularization of electronic computers have broadened the application field of mathematics. Modern mathematics is becoming a powerful driving force for the development of science and technology, and it has also penetrated into the field of social sciences extensively and deeply.